1131edo: Difference between revisions
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'''1131edo''' divides the octave into 1131 equal parts of 1.0610 cents each. | '''1131edo''' divides the octave into 1131 equal parts of 1.0610 cents each. | ||
Using the patent val, it tempers out 1600000/1594323 ([[amity comma]]) in the [[5-limit]], 2401/2400 ([[breedsma]]) and 4802000/4782969 ([[canousma]]) in the [[7-limit]], 3025/3024 (lehmerisma), 41503/41472, and 151262/151250 in the [[11-limit]]. It provides the [[optimal patent val]] for [[amicable]] temperament, the rank-2 temperament that tempers out 2401/2400 and 1600000/1594323, and for [[ | Using the patent val, it tempers out 1600000/1594323 ([[amity comma]]) in the [[5-limit]], 2401/2400 ([[breedsma]]) and 4802000/4782969 ([[canousma]]) in the [[7-limit]], 3025/3024 (lehmerisma), 41503/41472, and 151262/151250 in the [[11-limit]]. It provides the [[optimal patent val]] for [[amicable]] temperament, the rank-2 temperament that tempers out 2401/2400 and 1600000/1594323, and for [[canou temperament]], the rank-3 temperament that tempers out 4802000/4782969. | ||
1131 factors into 3 × 13 × 29 with divisors 3, 13, 29, 39, 87 and 377, and it shares the major third of [[5/4]] with [[87edo]]. | 1131 factors into 3 × 13 × 29 with divisors 3, 13, 29, 39, 87 and 377, and it shares the major third of [[5/4]] with [[87edo]]. | ||
Revision as of 16:46, 5 January 2021
1131edo divides the octave into 1131 equal parts of 1.0610 cents each.
Using the patent val, it tempers out 1600000/1594323 (amity comma) in the 5-limit, 2401/2400 (breedsma) and 4802000/4782969 (canousma) in the 7-limit, 3025/3024 (lehmerisma), 41503/41472, and 151262/151250 in the 11-limit. It provides the optimal patent val for amicable temperament, the rank-2 temperament that tempers out 2401/2400 and 1600000/1594323, and for canou temperament, the rank-3 temperament that tempers out 4802000/4782969.
1131 factors into 3 × 13 × 29 with divisors 3, 13, 29, 39, 87 and 377, and it shares the major third of 5/4 with 87edo.